Question

Solve the inequality (29/289)z<(16/161)z

Answer 1

is that what you looking for

Answer 2

`z < 0`

Explanation:

Given:

`(29)/(289)z<(16)/(161)z`

Required:

Solve for z

Follow the following steps:

Step 1: Rewrite expression

`(29z)/(289)<(16z)/(161)`

Step 2: Multiply both sides of the inequality by (289)(161)

`(161)(289)(29z)/(289)<(161)(289)(16z)/(161)`

Step 3: Simplify Expression

`161 * 29z< 289 * 16z`

Step 4: Multiply

`4669 z< 4624 z`

Step 5: Collect Like Terms

`4669 z - 4624 z< 0`

Step 6: Subtract

`45z< 0`

Step 7: Divide both sides by 45

`(45z)/(45) < (0)/(45)`

`z < 0`

Hence, the resul of
`(29)/(289)z<(16)/(161)z` is
`z < 0`